Mathematics Challenge 2015
|
|
- Blaise Fields
- 5 years ago
- Views:
Transcription
1 Mathematics Challenge 2015 by Children s Well-wishers Network (CWN) YEAR 9 Mark Scheme We provide mark schemes of our CWN Mathematics Challenge 2015 examination papers to help parents. Please note that for some problems there are more than one possible answer. Some questions are open ended. We strongly advise all children to practise the papers and think hard before looking at the answers provided. Full answers and explanations will be provided on our feedback sessions. In general, we expect units, directions, sensible answers and reasons in all questions.
2 Q1) The probability that it will rain tomorrow is one-third. The probability that it will rain day after tomorrow is one-sixth. (a) What is the probability that it will rain at least one of the days, tomorrow or day after tomorrow? (d) John has two fair 4-sided dice. One dice is numbered 1, 2, 3 and 4. The other is numbered 2, 3, 4 and 5. John throw both dice and multiply the scores to find the game score. What is the probability that the game score is even? = You must show your working to explain your answer. Or four-ninths (b) What is the probability that someone will hold an umbrella tomorrow? First die/second die We cannot judge [as people hold umbrella for rain and for shade]. P(game score is even) = (c) Siva rolls an ordinary fair four-sided dice 1200 times. Work out an estimate for the number of times the dice will land on 1. Any number close to 300 Q2) (a) Work out: 1006 x 994 using factorisation = = (b) Factorise fully: Page 2
3 Q3) The triangle A has sides of length 5, 6, 5. The triangle B has sides of length 5, 8, 5. What is the ratio of area A : area B? Show your working out. Ratio: 1 : 1 Q4) (a) How many significant figures does each of these numbers have? Write them in the brackets. 123 ( 3 ) 123,000 ( 3 ) 1.00 ( 3 ) ( 3 ) (b) When adding and subtracting numbers, the rules of significant figures require that the number of places after the decimal point in the answer is less than or equal to the number of decimal places in every term in the sum. Find the sum of: (i) and (ii) and (c) When multiplying and dividing numbers, the number of significant digits you use is simply the same number of significant figures as is the number with the fewest significant figures. Find the product of: x Q5) Soon after a bank robbery, five suspects were being questioned. Below is a summary of their statements. Police knew that each of them told the truth in one of the statements and lied in the other. From this information can you tell who committed the crime? Bala said: It wasn't Chandran. It was Alan. Das said: It was Chandran. It wasn't Alan. Chandran said: It was Bala. It wasn't Ejaman. Alan said: It was Ejaman. It wasn't Bala. Ejaman said: It was Das. It was Alan. Looking at Bala s statements, the first statement ( It wasn t Chandran. ) cannot be false, otherwise this will contradict his second statement ( It was Alan. ). Hence, his second statement must be false. This implies the culprit neither Chandran nor Alan. Looking at Ejaman s statements, as we know from Bala that the culprit wasn t Alan, Ejaman s second statement ( It was Alan. ) must be false. This implies his first statement ( It was Das. ) is true, and therefore the culprit was Das. Page 3
4 Q6) (a) Enlarge shape A by scale factor 1.5 with centre (0, 0) as origin. Label the image T. As shown on diagram above. (b) Enlarge shape A by scale factor -1.5 with centre (0, 0) as origin. Label the image U. As shown on diagram above. (c) Enlarge shape B by scale factor -1 with ( -8, -1) as the centre of enlargement. Write the co-ordinates of the vertices of resulting image. (-10, -3), (-6,-3), (-6, -7) Page 4
5 (d) Look at the graph below. Q8) The eight-digit number xxxxyyyy, where x and y are different digits, is divisible by 45. What are the possible values of x? 4(x+y) must be divisible by 9. x can be 4 or 9. Award ½ mark for only 4 or only 9 i. What is the co-ordinate of point A after rotating anticlockwise 90 degrees about the origin O? Q9) L is a line with equation = 5 3. Write down the equation of a line: (-2, -3) (a) That is perpendicular and passing through origin. 1 5 ii. What is the co-ordinate of point A after reflection on line? (b) That never intersects y = 5x 3. (2, -3) 5 where 3 Q7) Using the geometrical indications for equal sides and parallel lines work out the size of angle ADE. Q10) The equation of the line of symmetry of a quadratic graph is x = -2. The maximum point of that graph is (-2, 3). (a) What is the equation of the graph? Many possible answers of the form: Y = k (x +2) where k < 0 ADE = 20 as CDE is congruent to CBE. (application of congruency) (b) What is the equation of the above graph after translation to the right by 2 units? Many possible answers of the form: Y = k (x) where k < 0 Page 5
6 Q11) John wrote a book on humanity. He paged his book with number 1, 2, 3, and so on consequently. All in all he used 1152 digits to number all the pages of his book. What is the page number of the last page? (b) Work out: x First nine (9) single digits: 1,2,... 9 Next ninety (90) double-digits : 10,11, 99 Next 321 triple digits 100, 101, Q12) Angles of a quadrilateral are in the ratio 1 : 2 : 3 : 14. What is the difference between the largest angle and smallest angle? 234 Q13) A magician has two big boxes A and B with cats and mice (friendly together). In box A, there are 5 cats and 3 mice. In box B, there are 4 cats and 5 mice. He now takes one animal from box A and put it in B. And then takes one animal from box B and put it in A. What is the probability there will be 6 cats together in the same box? (c) My calculator has a 11 digit display. The answer to a calculation is shown as i. Is this a rational number? Circle the correct answer. Yes / No / Cannot say ii. Why? (½ mark) Calculator truncates if a number is more than 11 digits. We do not know whether the number/numeric solution was 11 digits or more. Q15) (a) (½ mark) Find the n th term of these two sequences: (i) 2, 11, 26, 47, 74, 107 Answer: 3 1 Q14) (a) Express as recurring decimal. (ii) -1, 5, 17, 35, 59, 89 Answer: Page 6
7 (b) Here are 3 rectangular shapes. How many squares will be on 10 th shape? Q19) (a) Calculate the number which is halfway between 65 x 63 and 63 x x 150 = 9450 Answer: 60 Q16) The area of a circle is numerically equal to three times of its perimeter. Lengths are measured in centimetres (cm). What is the measure of its radius? 6 cm Q17) Student collected a vast amount of rainfall data over a year and calculated the mean of the average monthly rainfall in India. Will it give accurate picture of rainfall in India? (b) Write down the number halfway between 6.5 x 63 and 6.3 x Q20) The average age of a group of 10 students, in years, was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group? No. Why? (½ mark) 32 There are so many unpredictable scientific factors plays into. No amount of statistical data can yield the accuracy of a chaotic nature. Q18) Given that x : y = 2 : 3 and y : z = 2 : 3 What is x : z? (½ mark) Q21) Suppose that 8 = 125. What is the value of 4? Show your working : 9 Page 7
8 Q22) Cavalieri s Principle says: If two solids have the same height and the same cross-sectional area at every level, then they have the same volume. Using the above principle work out the volume of this oblique cylinder in multiples of : Q24) Seetha boils six eggs for her family s breakfast. She puts the eggs into the hot water pan one at a time, but waits one minute before putting the next egg in. If she boils each egg for exactly for three minutes, how long does the whole operation take from the moment she puts the first egg in to the moment she takes the sixth egg out? 8 min Volume = π x ( 4 cm) 2 x 7 cm = 112 π cm 2 Q23) Find the expression for the area shaded in terms of. Area unshaded + 2 x shaded = 4 x π x 5 2 Area unshaded + shaded = 10 2 Shaded = 100 π 100 Page 8
9 Q25) (a) Prove that area of the triangle is ½ x base x height using the figure: Area of rectangle = 2 x area of the triangle Area of rectangle = AC x AD Area of the triangle = ½ x AC x AD Area of the triangle = ½ x base x height (b) Using the following diagram, the above result and algebra prove the Pythagoras Theorem. Area of the trapezium = ½ x (a + b) x (a + b) = ½ x (a 2 + 2ab + b 2 ) = ½ x (a 2 + b 2 ) + ab Area of right-angled triangle = ½ c 2 Area of blue triangle = ½ ab Area of yellow triangle = ½ ab Thus, ½ ab + ½ ab + ½ c 2 = ½ x (a 2 + b 2 ) + ab Thus, c 2 = a 2 + b 2 Page 9
Mathematics Challenge 2014
Mathematics Challenge 014 5 th January 014 YEAR 7 Model Answers We provide these model answers of our CWN: Mathematics Challenge 014 exam to help parents. Please note that for some problems there are more
More information48th AHSME If a is 50% larger than c, and b is 25% larger than c, then a is what percent larger than b?
48th HSME 1997 2 1 If a and b are digits for which then a + b = 2 a b 6 9 9 2 9 8 9 () () 4 () 7 () 9 (E) 12 2 The adjacent sides of the decagon shown meet at right angles What is its perimeter? () 22
More informationUnit 3: Number, Algebra, Geometry 2
Unit 3: Number, Algebra, Geometry 2 Number Use standard form, expressed in standard notation and on a calculator display Calculate with standard form Convert between ordinary and standard form representations
More informationStepping stones for Number systems. 1) Concept of a number line : Marking using sticks on the floor. (1 stick length = 1 unit)
Quality for Equality Stepping stones for Number systems 1) Concept of a number line : Marking using sticks on the floor. (1 stick length = 1 unit) 2) Counting numbers: 1,2,3,... Natural numbers Represent
More informationGCSE Mathematics Non Calculator Higher Tier Free Practice Set 6 1 hour 45 minutes ANSWERS. Marks shown in brackets for each question (2) A* A B C D E
MathsMadeEasy GCSE Mathematics Non Calculator Higher Tier Free Practice Set 6 1 hour 45 minutes ANSWERS Marks shown in brackets for each question A* A B C D E 88 75 60 45 25 15 3 Legend used in answers
More informationMathematics Second Practice Test 1 Levels 6-8 Calculator not allowed
Mathematics Second Practice Test 1 Levels 6-8 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
More informationCandidate Name Centre Number Candidate Number MATHEMATICS UNIT 1: NON-CALCULATOR INTERMEDIATE TIER SPECIMEN PAPER SUMMER 2017
GCSE MATHEMATICS Specimen Assessment Materials 27 Candidate Name Centre Number Candidate Number 0 GCSE MATHEMATICS UNIT 1: NON-CALCULATOR INTERMEDIATE TIER SPECIMEN PAPER SUMMER 2017 1 HOUR 45 MINUTES
More informationMathematics Paper 1 (Non-Calculator)
Write your name here Surname Other names Pearson Edexcel Level 1/Level 2 GCSE (9-1) Centre Number Candidate Number Mathematics Paper 1 (Non-Calculator) Mock Set 2 Spring 2017 Time: 1 hour 30 minutes Higher
More informationLatest Syllabus - NMO
Latest Syllabus - NMO CLASS 1 Numerals and Number Name (2 digit numbers) Addition, Subtraction Knowledge of currency notes. Knowledge of clock. Knowledge of basic units of Length,. Knowledge of basic figures
More informationEnd Of Term 2 Revision Sheet
Egyptian British International School Math Department Name:. Year (8..) End Of Term 2 Revision Sheet * Answer The following questions after revising your classwork copybook, course book, homework book
More informationYes zero is a rational number as it can be represented in the
1 REAL NUMBERS EXERCISE 1.1 Q: 1 Is zero a rational number? Can you write it in the form 0?, where p and q are integers and q Yes zero is a rational number as it can be represented in the form, where p
More informationDay What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?
Mental Arithmetic Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 7 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share
More informationMake the Grade. A Programme for Success. Target Grade A
Make the Grade A Programme for Success Target Grade A MAKE THE GRADE NUMBER 1. a) Find the Highest Common Factor of 36 and 84 b) Find the Least Common Multiple of 28 and 42 2. a) Write the following numbers
More informationYEAR 10 PROGRAM TERM 1 TERM 2 TERM 3 TERM 4
YEAR 10 PROGRAM TERM 1 1. Revision of number operations 3 + T wk 2 2. Expansion 3 + T wk 4 3. Factorisation 7 + T wk 6 4. Algebraic Fractions 4 + T wk 7 5. Formulae 5 + T wk 9 6. Linear Equations 10 +T
More informationPaper 2. Mathematics test. Calculator allowed. satspapers.org KEY STAGE TIERS. First name. Last name. School
Ma KEY STAGE 3 TIERS 6 8 2006 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your
More informationPiXL Independence: Mathematics Answer Booklet KS4 HIGHER. Topic 3 - Factorising, Inequalities, Quadratics. Contents: Answers
PiXL Independence: Mathematics Answer Booklet KS4 HIGHER Topic - Factorising, Inequalities, Quadratics Contents: Answers 1 I. Basic Skills Check Answer the following questions. In order to improve your
More informationPaper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER
Ma KEY STAGE 3 TIER 6 8 2003 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your
More informationAssessing Pupils Progress
Assessing Pupils Progress Focused assessment materials: Level 8 Assessing Pupils Progress First published in 2009 Ref: 00201-2009PDF-EN-05 Disclaimer The Department for Children, Schools and Families
More information(b) [1] (c) [1]
GCSE MATHEMATICS Specimen Assessment Materials 29 1. Calculate the following. (a) 5 2 2 3 [2] (b) 0 3 0 6 (c) 8 7 5 25 (d) 7 1 8 4 [2] GCSE MATHEMATICS Specimen Assessment Materials 30 2. (a) Write down
More informationWednesday, 24 May Warm-Up Session. Non-Calculator Paper
Wednesday, 24 May 2017 Warm-Up Session Non-Calculator Paper Non-Calculator Paper 80 marks in 90 minutes IF YOU FINISH EARLY CHECK EVERYTHING! You have made a silly mistake somewhere. Redo some questions
More informationYou must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 2F Centre Number Monday 12 January 2015 Afternoon Time: 2 hours Candidate Number
More informationUnit 4 Patterns and Algebra
Unit 4 Patterns and Algebra In this unit, students will solve equations with integer coefficients using a variety of methods, and apply their reasoning skills to find mistakes in solutions of these equations.
More informationSolve problems involving proportions Describe the effect of scale factor
Strand: Ratios and Proportional Relationships (RP) 7th Grade Topic: Describe relationships of similar polygons Solve problems involving proportions Describe the effect of scale factor Compare or contrast
More informationInvestigation Find the area of the triangle. (See student text.)
Selected ACE: Looking For Pythagoras Investigation 1: #20, #32. Investigation 2: #18, #38, #42. Investigation 3: #8, #14, #18. Investigation 4: #12, #15, #23. ACE Problem Investigation 1 20. Find the area
More informationScope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A)
Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A) Updated 06/05/16 http://www.haesemathematics.com.au/ Note: Exercises in red text indicate material in the 10A textbook
More informationMATHEMATICS (Linear) Paper H
Surname Other Names Centre Number Candidate Number Candidate Signature General Certificate of Secondary Education Higher Tier January 2013 MATHEMATICS (Linear) Paper 2 43652H Tuesday 15 January 2013 1.30
More informationMethods in Mathematics (Linked Pair Pilot)
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Higher Tier January 2013 Pages 3 4 5 Mark Methods
More informationYear 11 Intervention Book 1 (Number)
Year 11 Intervention Book 1 (Number) Name Target Grade My areas of strength in this booklet My areas for development in this booklet What can I do to improve? (Be specific) I spent hours on this book in
More informationCLASS-IX MATHEMATICS. For. Pre-Foundation Course CAREER POINT
CLASS-IX MATHEMATICS For Pre-Foundation Course CAREER POINT CONTENTS S. No. CHAPTERS PAGE NO. 0. Number System... 0 3 0. Polynomials... 39 53 03. Co-ordinate Geometry... 54 04. Introduction to Euclid's
More informationGCSE Mathematics Calculator Foundation Tier Free Practice Set 1 1 hour 30 minutes ANSWERS. Marks shown in brackets for each question (2)
MathsMadeEasy 3 GCSE Mathematics Calculator Foundation Tier Free Practice Set 1 1 hour 30 minutes ANSWERS Marks shown in brackets for each question Grade Boundaries C D E F G 76 60 47 33 20 Legend used
More informationDay 1. Mental Arithmetic Questions. 1. What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?
Mental Arithmetic Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 6 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share
More information2013 Grade 9 Mathematics Set A
2013 Grade 9 Mathematics Set A Copyright National Institute for Educational Policy Reserch All Right Reserved URL: https://www.nier.go.jp/english/index.html The English translation is prepared by the Project
More informationGCSE Mathematics Non-Calculator Higher Tier Free Practice Set 6 1 hour 45 minutes. Answers at:
First Name Last Name Date Total Marks / 100 marks MathsMadeEasy 3 GCSE Mathematics Non-Calculator Higher Tier Free Practice Set 6 1 hour 45 minutes Answers at: http://www.mathsmadeeasy.co.uk/gcsemathspapers-free.htm
More informationGCSE Mathematics Non-Calculator Higher Tier Free Practice Set 1 1 hour 45 minutes ANSWERS. Grade Boundaries A* A B C D E.
MathsMadeEasy GCSE Mathematics Non-Calculator Higher Tier Free Practice Set 1 1 hour 45 minutes ANSWERS Grade Boundaries A* A B C D E 88 71 57 43 22 13 3 Authors Note Every possible effort has been made
More information2011 Cayley Contest. The CENTRE for EDUCATION in MATHEMATICS and COMPUTING. Solutions. Thursday, February 24, (Grade 10)
The CENTRE for EDUCATION in MATHEMATICS and COMPUTING 0 Cayley Contest (Grade 0) Thursday, February, 0 Solutions 00 Centre for Education in Mathematics and Computing 0 Cayley Contest Solutions Page. We
More informationPreliminary chapter: Review of previous coursework. Objectives
Preliminary chapter: Review of previous coursework Objectives By the end of this chapter the student should be able to recall, from Books 1 and 2 of New General Mathematics, the facts and methods that
More informationGeometric Formulas (page 474) Name
LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note:
More information90 counter-clockwise ( ) about the origin to create A B C
Geometry Chapters 1-6 Exam Review Name: Chapter 1 1. Solve the equations below for x, if possible. Be sure to check your solution(s). 3x 1 5 a. b. (5 3 x)(4x 3) 0 4 11 3x c. 6 5(2x 3) 4x 7 d. 2 4x 1 4
More informationBaldragon Academy National 4 Maths Checklist
Baldragon Academy National 4 Maths Checklist Contents: Page Numeracy Number..2 Measure.4 Statistics...6 Expressions and Formulae Algebra..8 Geometry.....9 Statistics..11 Relationships Linear Equations
More informationMath is Cool Masters
8th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise.
More informationArchdiocese of Washington Catholic Schools Academic Standards Mathematics
6 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compare and order positive and negative integers*, decimals, fractions, and mixed numbers. They find multiples*
More informationAnswers and Mark Scheme. Holiday Revision Ten minutes a day for ten days
Answers and Mark Scheme Holiday Revision 10--10 Ten minutes a day for ten days Non-Calculator Answers DAY 1 1. One night at a school concert the audience is made up as follows: 1 are m e n, are w o men,
More informationgrasp of the subject while attaining their examination objectives.
PREFACE SUCCESS IN MATHEMATICS is designed with the purpose of assisting students in their preparation for important school and state examinations. Students requiring revision of the concepts covered in
More informationThe shaded shape has an area of 3 hexagons and a perimeter of 14 cm.
1 Here is a grid of regular hexagons. The shaded shape has an area of 3 hexagons and a perimeter of 14 cm. Draw another shape on the grid which has an area of 4 hexagons and a perimeter of 14 cm. 1 mark
More informationSixth Form Entrance Mathematics
Sixth Form Entrance 2016 Mathematics 1 hour Attempt all questions if possible. Do not worry if there are topics you have never covered; do your best on whatever you can attempt. Questions are not necessarily
More informationPYP Mathematics Continuum
Counting from One By Imaging to Advanced Counting (-) Y E+ 0- K N O W L E D G E Read,Write, and Count Whole numbers up to 00, forwards and backwards in s, s, 5 s, and 0 s Recall How many tens in a two-digit
More informationFRIDAY, 10 NOVEMBER 2017 MORNING 1 hour 45 minutes
Surname Centre Number Candidate Number Other Names 0 GCSE 3300U50-1 A17-3300U50-1 MATHEMATICS UNIT 1: NON-CALCULATOR HIGHER TIER FRIDAY, 10 NOVEMBER 2017 MORNING 1 hour 45 minutes For s use ADDITIONAL
More informationYou must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 1FR Centre Number Tuesday 6 January 2015 Afternoon Time: 2 hours Candidate Number Foundation Tier Paper Reference
More informationThe number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 72.
ADVANCED SUBSIDIARY GCE UNIT 4752/0 MATHEMATICS (MEI) Concepts for Advanced Mathematics (C2) THURSDAY 7 JUNE 2007 Morning Time: hour 0 minutes Additional materials: Answer booklet (8 pages) Graph paper
More information2009 Cayley Contest. Solutions
Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2009 Cayley Contest (Grade 10) Wednesday, February 18, 2009
More informationAustralian Curriculum Mathematics Alignment Document_V8.2 Year 8
Australian Curriculum Mathematics Alignment Document_V8.2 Year 8 Content Descriptors Elaborations Math-U-See links Number and Algebra Number and Place Value Use index notation with numbers to establish
More informationANNUAL NATIONAL ASSESSMENT 2014 ASSESSMENT GUIDELINES MATHEMATICS GRADE 9
INTRODUCTION The 2014 cycle of Annual National Assessment (ANA 2014) will be administered in all public and designated 1 independent schools from 16 to 19 September 2014. During this period all learners
More informationStage 8: Got It? Assessment 2015 Page 1
Assessment 2015 Page 1 Number: structure and calculation 1 Calculate a) 2718 0.67 b) 247.7 15 to one decimal place c) 22.167 + 287.4 d) 32.214 714.8 2015 Page 2 Number: structure and calculation e) 3 2
More informationA-Level Notes CORE 1
A-Level Notes CORE 1 Basic algebra Glossary Coefficient For example, in the expression x³ 3x² x + 4, the coefficient of x³ is, the coefficient of x² is 3, and the coefficient of x is 1. (The final 4 is
More informationSaxon Math 2, Second Edition Scope & Sequence
Saxon Math 2, Second Edition Scope & Sequence Number Strand Number Sense and Numeration Concepts of Whole Number Operations Counts by 2 s, 3 s, 4 s, 5 s, 10 s, 25 s, and 100 s Reads and writes numbers
More informationTime: 1 hour 30 minutes
Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C Silver Level S4 Time: 1 hour 0 minutes Materials required for examination Mathematical Formulae (Green) Items included with question papers Nil
More informationFLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED
FLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED After a standard is introduced, it is revisited many times in subsequent activities, lessons, and exercises. Domain: The Number System 8.NS.1.1
More informationBRITISH COLUMBIA SECONDARY SCHOOL MATHEMATICS CONTEST,
BRITISH COLUMBIA SECONDARY SCHOOL MATHEMATICS CONTEST, 014 Solutions Junior Preliminary 1. Rearrange the sum as (014 + 01 + 010 + + ) (013 + 011 + 009 + + 1) = (014 013) + (01 011) + + ( 1) = 1 + 1 + +
More informationGrade 4 - SBA Claim 1 Example Stems
Grade 4 - SBA Claim 1 Example Stems This document takes publicly available information about the Smarter Balanced Assessment (SBA) in Mathematics, namely the Claim 1 Item Specifications, and combines and
More informationCONTENTS NUMBER SYSTEMS. Number Systems
NUMBER SYSTEMS CONTENTS Introduction Classification of Numbers Natural Numbers Whole Numbers Integers Rational Numbers Decimal expansion of rational numbers Terminating decimal Terminating and recurring
More informationMATHS (O) NOTES. SUBJECT: Maths LEVEL: Ordinary Level TEACHER: Jean Kelly. The Institute of Education Topics Covered: Complex Numbers
MATHS (O) NOTES The Institute of Education 07 SUBJECT: Maths LEVEL: Ordinary Level TEACHER: Jean Kelly Topics Covered: COMPLEX NUMBERS Strand 3(Unit ) Syllabus - Understanding the origin and need for complex
More informationR1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member
Chapter R Review of basic concepts * R1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member Ex: Write the set of counting numbers
More informationSaturday, September 7, 2013 TEST BOOKLET. Test Version A. Your test version (A, B, C, or D) is above on this page.
AdvAntAge testing FoundAtion MAth The Fifth Prize Annual For girls Math Prize for Girls Saturday, September 7, 2013 TEST BOOKLET Test Version A DIRECTIONS 1. Do not open this test until your proctor instructs
More informationMethods in Mathematics
Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Methods in Mathematics Unit 1: Methods 1 For Approved Pilot Centres ONLY Higher Tier Tuesday 17 June 2014 Morning
More informationMathematics (Linear) 43652H. (JAN H01) WMP/Jan13/43652H. General Certificate of Secondary Education Higher Tier January 2013.
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Higher Tier January 2013 Pages 3 4 5 Mark Mathematics
More informationPaper 2H GCSE/A2H GCSE MATHEMATICS. Practice Set A (AQA Version) Calculator Time allowed: 1 hour 30 minutes
Surname Other Names Candidate Signature Centre Number Candidate Number Examiner Comments Total Marks Paper 2H GCSE MATHEMATICS CM Practice Set A (AQA Version) Calculator Time allowed: 1 hour 30 minutes
More informationGrade 8 Alignment of CMP with Andover Benchmarks
10.D.2 Approximate a line of best fit (trend line) given a set of data (e.g., scatterplot). Use technology when appropriate. Exposure only when it comes up briefly in Thinking with Math Models 8.D.2 Select,
More informationAQA. GCSE Mathematics. Practice Paper 1. Foundation Paper 2 Calculator. Summer Time allowed: 1 hour 30 minutes.
AQA Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature GCSE Mathematics Foundation Paper 2 Calculator F Time allowed: 1 hour 30 minutes Materials
More informationAlgebra. Topic: Manipulate simple algebraic expressions.
30-4-10 Algebra Days: 1 and 2 Topic: Manipulate simple algebraic expressions. You need to be able to: Use index notation and simple instances of index laws. Collect like terms Multiply a single term over
More informationIII. THIRD YEAR SYLLABUS :
III. THIRD YEAR SYLLABUS : III.1 Numbers It is important that pupils are made aware of the following: i) The coherence of the number system (N Z Q ). ii) The introduction of the additive inverse of a natural
More informationSt. Ann s Academy - Mathematics
St. Ann s Academy - Mathematics Students at St. Ann s Academy will be able to reason abstractly and quantitatively. Students will define, explain, and understand different types of word problems (simple
More informationCAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE
CAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE TIER TOPIC HEADING SUB HEADING Both Number Integers Ordering numbers Both Number Integers Rounding numbers Both Number Integers Adding and subtracting whole
More informationPractice Set 1.1 Algebraic Expressions and Real Numbers. Translate each English phrase into an algebraic expression. Let x represent the number.
Practice Set 1.1 Algebraic Expressions and Real Numbers Translate each English phrase into an algebraic expression. Let x represent the number. 1. A number decreased by seven. 1.. Eighteen more than a
More informationThird Grade Report Card Rubric 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern
Concepts Assessed by Unit and Trimester Units 5, 6, 7, 8 Units 5, 6, 7 Units 5, 6, 7, 8 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern Student exceeds expectations of this unit Student is meeting
More informationKey Stage 3 Subject: Maths Foundation Year: Year 7 Year 8 Year 9 Topic/Module: Geometry
Subject: Foundation Topic/Module: Geometry Time Geometry 1 234 Metric Units Angles/Polygons Bearings Transformations watch Clips N21 N7 N7 N7 N7 N7, R2, 112 112 G10, 46 G16, 122 G14 G13, G17, 45, 121 G23
More informationMad Hatter Part I.
Question 1. Mad Hatter 11-12. Part I. When a triangle s base is increased by 10%, and the altitude to this base is decreased by 10%, the change in area is Math Field Day. California State University, Fresno.
More informationGrade 6 Math Circles. Gauss Contest Preparation - Solutions
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles March 25/26, 2014 Gauss Contest Preparation - Solutions General Information The Gauss
More information1. Peter cuts a square out of a rectangular piece of metal. accurately drawn. x + 2. x + 4. x + 2
1. Peter cuts a square out of a rectangular piece of metal. 2 x + 3 Diagram NOT accurately drawn x + 2 x + 4 x + 2 The length of the rectangle is 2x + 3. The width of the rectangle is x + 4. The length
More informationHigher Unit 9 topic test
Name: Higher Unit 9 topic test Date: Time: 45 minutes Total marks available: 41 Total marks achieved: Questions Q1. (a) (i) Factorise x 2 12x + 27... (ii) Solve the equation x 2 12x + 27 = 0 (b) Factorise
More informationYear 9 Mastery Statements for Assessment 1. Topic Mastery Statements - I can Essential Knowledge - I know
Year 9 Mastery Statements for Assessment 1 Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals Measures, perimeter area and volume Expressions and formulae Indices
More informationMathematics AQA Advanced Subsidiary GCE Core 1 (MPC1) January 2010
Link to past paper on AQA website: http://store.aqa.org.uk/qual/gce/pdf/aqa-mpc1-w-qp-jan10.pdf These solutions are for your personal use only. DO NOT photocopy or pass on to third parties. If you are
More informationSkills Check #1 ESM 1
Skills Check #1 ESM 1 I. Perform the operations; simplify completely. a) 40 5 10 4 8 3 4 c) 3 4 3 ( ) 1 413 d) (1 5) 1 5 e) 3 3 6 f) 6 40 5 9 g).16 7(0.3) h) 5.934.3 7.1 i) (31.8) 3.065 II. Simplify: (9)
More informationACCUPLACER Sample Questions for Students
ACCUPLACER Sample Questions for Students 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College Board. All other products and services may
More informationSyllabus for Grade 7. More details on each of the topics is covered in the following pages.
Syllabus for Grade 7 Chapter 1 Algebraic Reasoning Chapter 2 Integers and rational numbers Chapter 3 Number Theory Chapter 4 Rational number Chapter 5 Patterns and functions Chapter 6 Proportional Relationships
More informationSAMPLE EVALUATION ONLY
topic 9 Numeracy 9. Overview Why learn this? Our lives are interwoven with mathematics. Counting, measuring and pattern-making are all part of everyday life. We use numbers to mark signifi cant events
More information7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions
7 th Grade 3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions Strand Standard No. Benchmark (7 th Grade) Sampler Item Number & Operation 12-16 Items Modified 7-9 Items Read, write,
More informationWorking Out Your Grade
Working Out Your Grade Please note: these files are matched to the most recent version of our book. Don t worry you can still use the files with older versions of the book, but the answer references will
More informationYEAR 2 LATE ENTRY EXAMINATIONS Time allowed: 2 hours
YEAR 2 LATE ENTRY EXAMINATIONS 2017 MATHEMATICS SATURDAY 3 rd JUNE 2017 Time allowed: 2 hours Instructions to candidates Answer the questions in the spaces provided. Without sufficient working, correct
More informationPaper Reference. London Examinations IGCSE. Foundation Tier. Thursday 5 November 2009 Morning Time: 2 hours
Centre No. Candidate No. Paper Reference 4 4 0 0 1 F Surname Signature Paper Reference(s) 4400/1F London Examinations IGCSE Mathematics Paper 1F Foundation Tier Thursday 5 November 2009 Morning Time: 2
More informationYear 8 Autumn Term Topics Covered Calculations Ratio, Proportion and Compound Measures Manipulating Algebraic Expressions Fractions
Year 8 Autumn Term Topics Covered Note: grades given are our own internal 'Sprowston' grades used as a guide for the purpose of tracking students' progress Calculations Grade 2 Multiply and divide integers
More informationBRADFIELD COLLEGE. IGCSE Mathematics. Revision Guide. Bradfield College Maths Department. 1 P age
BRADFIELD COLLEGE IGCSE Mathematics Revision Guide Bradfield College Maths Department 2010 1 P age Contents Introduction to the Revision Guide... 3 Aims... 3 How to use the guide... 3 Using the different
More informationTopic test on first 3 units Problem solving task
SUBJECT Mathematics Year 8 HOD: C Thenuwara TERM 1 UNIT TITLES Fractions &Decimals LEARNING OBJECTIVES Pupils should be able to solve problem questions involving: One number as a fraction of another Fractions
More informationLondon Examinations IGCSE
Centre No. Candidate No. Surname Signature Initial(s) Paper Reference(s) 4400/4H London Examinations IGCSE Mathematics Paper 4H Higher Tier Friday 18 May 2007 Afternoon Time: 2 hours Materials required
More informationGranite School District Parent Guides Utah Core State Standards for Mathematics Grades K-6
Granite School District Parent Guides Grades K-6 GSD Parents Guide for Kindergarten The addresses Standards for Mathematical Practice and Standards for Mathematical Content. The standards stress not only
More informationFurther Mathematics Summer work booklet
Further Mathematics Summer work booklet Further Mathematics tasks 1 Skills You Should Have Below is the list of the skills you should be confident with before starting the A-Level Further Maths course:
More information2015 Fall Startup Event Solutions
1. Evaluate: 829 7 The standard division algorithm gives 1000 + 100 + 70 + 7 = 1177. 2. What is the remainder when 86 is divided by 9? Again, the standard algorithm gives 20 + 1 = 21 with a remainder of
More informationEnd Of Term 2 Revision Sheet
Egyptian British International School Math Department Name:. Year (8..) End Of Term 2 Revision Sheet * Answer The following questions after revising your classwork copybook, course book, homework book
More information1999 Solutions Fermat Contest (Grade 11)
Canadian Mathematics Competition n activity of The Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 999 s Fermat Contest (Grade ) for the wards 999 Waterloo
More informationYou must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 3H Centre Number Wednesday 14 May 2014 Morning Time: 2 hours Candidate Number
More informationStepping Stones for Introduction to Algebra
Quality for Equality Stepping Stones for Introduction to Algebra Section I - Introduction to Algebra 1) Play Think of a number game Think of a number ( single digit number between 1 and 9 ) Add 3 Multiply
More information